Applications of Systems of Equations
DISTANCE, SPEED, TIME
1. Janet drove at 50 km/h from Smithville to Dry Gulch. From Dry Gulch to Streetsville,
she drove at 80 km/h. The whole trip was 550 km and took 8 h. How far is it from Dry
Gulch to Streetsville?
2. It took Maria 9 h to drive the 580 km between Devils Basin and Tumbleweed. The first
part of the trip was through mountains and she averaged 60 km/h. Once out of the
mountains, she averaged 70 km/h the rest of the way. How many hours did she spend
driving through the mountains?
3. Frieda took 7 h to drive from Cheyenne to Boothill, a total distance of 485 km. She
drove most of the way at 80 km/h but was slowed to 30 km/h for a time by a dust storm
during the trip. How many hours did she spend driving through the dust storm?
4. It is 395 km from Ski valley to Vancouver. Kim made the trip in 6 h, traveling by bus
and train. The train averaged 70 km/h and the bus 60 km/h. How much time was spent
traveling by train?
5. The distance from the highway to Lake Snow was 160 km and Jackie made the trip in 11
h. For the first part of the journey she used a snowmobile and traveled at 20 km/h. The
last part of the trip was made on skis, where she averaged 10 km/ h. How far did she
travel on skis?
6. Sarah spent 2 h more traveling by train than she did by bus. The train averaged 70 km/h
and the bus averaged 50 km/h. The total distance traveled was 740 km. How far did she
travel by bus?
7. Flying into the wind, and aircraft made a 360 km trip in 2 h. The return trip with a tail
wind took 1.5 h. Find the speed of the wind.
8. It took Edwina 8 h to row 40 km upstream. The return trip with the aid of the current,
took 5 h. Find the speed of the current.
9. An aircraft flying into the wind can make an 1100 km trip in 2 h. The same aircraft can
make the same trip in 1 h 50 min if flown with the wind. Find the speed of the wind.
10. Monica left Montreal driving at 30 km/h. Wendy left 2 h later and traveled the same road
at 40 km/h. At what distance from Montreal will Wendy overtake Monica?
Answers:
(1)
400 km
(2)
5
(6)
250 km
(7)
30 km/h
h
(3)
1. 5 h
(4)
3.5 h
(5)
60 km
(8)
1 . 5 km/h
(9)
25 km/h
(10)
240 km